Run these two commands and restart the notebook. (one time only)
jupyter nbextension enable --py --sys-prefix qgrid
jupyter nbextension enable --py --sys-prefix widgetsnbextension
!pip install stellargraph
!pip install qgrid
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import networkx as nx
import networkx.algorithms.community as nxcom
from sklearn.manifold import TSNE
from stellargraph import StellarGraph
from stellargraph.data import BiasedRandomWalk
from gensim.models import Word2Vec
import matplotlib.pyplot as plt
from matplotlib import pylab
import matplotlib.colors as mcolors
from matplotlib.lines import Line2D
%matplotlib inline
from IPython.display import display, clear_output
import numpy as np
import pandas as pd
import pickle
import qgrid
import csv
C:\Users\Kevin\anaconda3\lib\site-packages\gensim\similarities\__init__.py:15: UserWarning: The gensim.similarities.levenshtein submodule is disabled, because the optional Levenshtein package <https://pypi.org/project/python-Levenshtein/> is unavailable. Install Levenhstein (e.g. `pip install python-Levenshtein`) to suppress this warning. warnings.warn(msg)
The formula we use is essentially raw score * (min(weight total, 10) / weight total), where 10 can be changed around for different results.
We will use the user score when deciding the weight a target show should get as well. This can also be changed, but the default will be that the target gets multiplied by (User Score - 5).
Can adjust balancing and shifting_avg, as well as genre list for the inputs/sources.
def setup(genres=[],balancing=7, shifting_avg=5):
cnet = pd.read_csv("combine NET.csv")
pred = pd.read_csv("Jebby_Lin Simple Ratings.csv")
alldf = pd.read_csv("combine ALL.csv")
pred_df = pd.merge(pred[["Title", "User Score"]], alldf, how="inner", on="Title").drop("Unnamed: 0", axis=1)
pred_df["Source"] = pred_df["Title"]
#genre selection
genre_df = pred_df.copy(deep=True)
for genre in genres:
genre_df = genre_df.loc[pred_df[genre] == 1.0]
df = pd.merge(cnet, genre_df[["Source", "User Score", "Score"]], on="Source")
df["Weight Total"] = np.clip(df["Weight Total"], a_max = balancing, a_min = None)
df = df[df["Raw"] != -1]
df["Weight"] = df["Weight"] * df["Weight Total"]
df = df.reset_index()
for i in range(0, len(df["User Score"])):
try:
df["User Score"][i] = int(df["User Score"][i])
except:
df["User Score"][i] = 2
df["User Weight"] = df["Weight"] * (df["User Score"] - shifting_avg)
df["User Score"] = df["User Score"].astype(int)
return df, pred_df
df, pred_df = setup()
<ipython-input-5-ccdede457eed>:27: SettingWithCopyWarning: A value is trying to be set on a copy of a slice from a DataFrame See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy df["User Score"][i] = int(df["User Score"][i]) <ipython-input-5-ccdede457eed>:29: SettingWithCopyWarning: A value is trying to be set on a copy of a slice from a DataFrame See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy df["User Score"][i] = 2
Every section after this was imported from another notebook, and is not as applicable / optional. This section takes the combined target weights from all of the user's watched shows.
The following tables will let you sort by any column. They both are useful in determining different things, while being general indicators of how much a show should be recommended to you based on your watch list. If you are unsure of which to use, go with User Weight.
Score Diff / Score Diff z-score is good for finding shows that you would tend to rate higher than others (it's based on the difference between the score you give to the show and the show's average).
tdf = df.groupby(['Target'], as_index=False)['Weight'].sum()
tdf["Count"] = df.groupby(['Target'], as_index=False)['Weight'].count()["Weight"]
tdf["User Weight"] = df.groupby(['Target'], as_index=False)['User Weight'].sum()["User Weight"]
tdf["User Score"] = df.groupby(['Target'], as_index=False)['User Score'].mean()["User Score"]
tdf["Score"] = df.groupby(['Target'], as_index=False)['Score'].mean()["Score"]
tdf["Score Diff"] = tdf["User Score"] - tdf["Score"]
tdf["Score Diff z-score"] = (tdf["Score Diff"] - tdf["Score Diff"].mean()) / tdf["Score Diff"].std()
tdf = tdf.drop(["Score"], axis=1)
tdf
| Target | Weight | Count | User Weight | User Score | Score Diff | Score Diff z-score | |
|---|---|---|---|---|---|---|---|
| 0 | "Bungaku Shoujo" Kyou no Oyatsu: Hatsukoi | 0.018767 | 1 | 0.093834 | 10.000000 | 1.869000 | 1.324879 |
| 1 | "Bungaku Shoujo" Memoire | 0.030303 | 1 | 0.090909 | 8.000000 | 0.299000 | -0.015346 |
| 2 | "Bungaku Shoujo" Movie | 0.470099 | 6 | 2.102273 | 8.833333 | 0.797333 | 0.410055 |
| 3 | .hack//G.U. Trilogy | 0.064815 | 1 | 0.259259 | 9.000000 | 0.919000 | 0.513915 |
| 4 | .hack//Quantum | 1.018312 | 4 | 3.017659 | 7.500000 | -0.053500 | -0.316256 |
| ... | ... | ... | ... | ... | ... | ... | ... |
| 2238 | iDOLM@STER Xenoglossia | 0.008872 | 1 | 0.044360 | 10.000000 | 1.679000 | 1.162686 |
| 2239 | number24 | 0.658644 | 3 | -1.151896 | 6.333333 | -1.224333 | -1.315734 |
| 2240 | s.CRY.ed | 0.469048 | 7 | 1.168517 | 8.142857 | 0.019000 | -0.254367 |
| 2241 | xxxHOLiC | 2.001915 | 7 | 5.936561 | 7.428571 | -0.795286 | -0.949479 |
| 2242 | ēlDLIVE | 0.019608 | 1 | 0.039216 | 7.000000 | -1.381000 | -1.449472 |
2243 rows × 7 columns
#tdf[tdf["Target"].isin(df["Source"])].sort_values("Weight", ascending=False)
qgrid.show_grid(tdf[tdf["Target"].isin(pred_df["Source"])])
#tdf[~tdf["Target"].isin(df["Source"])].sort_values("Weight", ascending=False)[0:10]
qgrid.show_grid(tdf[~tdf["Target"].isin(pred_df["Source"])])
tdf.to_csv('net2pred.csv')
Convert to NetworkX graph
D = nx.convert_matrix.from_pandas_edgelist(df,'Source','Target',['Weight'],nx.DiGraph)
G = D
nx.info(D)
'Name: \nType: DiGraph\nNumber of nodes: 2826\nNumber of edges: 16004\nAverage in degree: 5.6631\nAverage out degree: 5.6631'
Copied from website
def draw(G, pos, measures, measure_name):
nodes = nx.draw_networkx_nodes(G, pos, node_size=250, cmap=plt.cm.plasma,
node_color=list(measures.values()),
nodelist=measures.keys())
nodes.set_norm(mcolors.SymLogNorm(linthresh=0.01, linscale=1, base=10))
# labels = nx.draw_networkx_labels(G, pos)
edges = nx.draw_networkx_edges(G, pos)
plt.title(measure_name)
plt.colorbar(nodes)
plt.axis('off')
plt.show()
pos = nx.spring_layout(G, seed=675)
Some basic visualizations
nx.draw(G)
options = {
"font_size": 8,
"node_size": 6,
"node_color": "red",
"edgecolors": "black",
"linewidths": 10,
"width": 0.15,
}
plt.figure(3,figsize=(40,40))
nx.draw_networkx(G, **options)
#plt.show()
import bokeh.io
from bokeh.io import output_file, show
from bokeh.resources import INLINE
from bokeh.models import (BoxSelectTool, Circle, EdgesAndLinkedNodes, HoverTool,
MultiLine, NodesAndLinkedEdges, Plot, Range1d, TapTool,
BoxZoomTool, ResetTool, OpenURL, CustomJS, Column, SaveTool)
from bokeh.palettes import Spectral4
from bokeh.plotting import figure, output_notebook
from bokeh.models.graphs import from_networkx
from bokeh.models import TextInput, Button
plot = Plot(plot_width=400, plot_height=400,
x_range=Range1d(-1.1,1.1), y_range=Range1d(-1.1,1.1))
plot.title.text = "Graph Interaction Demonstration"
plot.add_tools(HoverTool(tooltips=None), TapTool(), BoxSelectTool())
graph_renderer = from_networkx(G, nx.circular_layout, scale=1, center=(0,0))
graph_renderer.node_renderer.glyph = Circle(size=15, fill_color=Spectral4[0])
graph_renderer.node_renderer.selection_glyph = Circle(size=15, fill_color=Spectral4[2])
graph_renderer.node_renderer.hover_glyph = Circle(size=15, fill_color=Spectral4[1])
graph_renderer.edge_renderer.glyph = MultiLine(line_color="#CCCCCC", line_alpha=0.8, line_width=5)
graph_renderer.edge_renderer.selection_glyph = MultiLine(line_color=Spectral4[2], line_width=5)
graph_renderer.edge_renderer.hover_glyph = MultiLine(line_color=Spectral4[1], line_width=5)
graph_renderer.selection_policy = NodesAndLinkedEdges()
graph_renderer.inspection_policy = EdgesAndLinkedNodes()
plot.renderers.append(graph_renderer)
output_file("interactive_graphs.html")
show(plot)
BokehDeprecationWarning: Importing from_networkx from bokeh.models.graphs is deprecated and will be removed in Bokeh 3.0. Import from bokeh.plotting instead
degree_centrality = nx.degree_centrality(G)
closeness_centrality = nx.closeness_centrality(G)
betweenness_centrality = nx.betweenness_centrality(G)
hub, authority = nx.hits(G, max_iter=600)
eigenvector_centrality = nx.eigenvector_centrality(G)
Print the first 5 highest scoring nodes for each of the centrality measure. In each of these measures we see more or less the same names popping up, but not in the same order.
centrality = [degree_centrality, closeness_centrality, betweenness_centrality, hub, authority, eigenvector_centrality]
centrality_labels = ["degree centrality", "closeness centrality",
"betweenness centrality", "hub", "authority", "eigenvector centrality"]
for idx, m in enumerate(centrality):
s = sorted(m, key=m.get, reverse=True)[:5]
print(f"{centrality_labels[idx]}: {s}")
degree centrality: ['Code Geass: Hangyaku no Lelouch', 'Gintama', 'Death Note', 'Angel Beats!', 'Tengen Toppa Gurren Lagann'] closeness centrality: ['Sakura-sou no Pet na Kanojo', 'Toradora!', 'Angel Beats!', 'Chuunibyou demo Koi ga Shitai!', 'Yahari Ore no Seishun Love Comedy wa Machigatteiru.'] betweenness centrality: ['Gintama', 'Sakura-sou no Pet na Kanojo', 'Angel Beats!', 'Toradora!', 'Code Geass: Hangyaku no Lelouch'] hub: ['Angel Beats!', 'Code Geass: Hangyaku no Lelouch', 'Death Note', 'Toradora!', 'Suzumiya Haruhi no Yuuutsu'] authority: ['Angel Beats!', 'Toradora!', 'Sakura-sou no Pet na Kanojo', 'Chuunibyou demo Koi ga Shitai!', 'Suzumiya Haruhi no Yuuutsu'] eigenvector centrality: ['Toradora!', 'Angel Beats!', 'Sakura-sou no Pet na Kanojo', 'Chuunibyou demo Koi ga Shitai!', 'Yahari Ore no Seishun Love Comedy wa Machigatteiru.']
#https://stackoverflow.com/questions/57162519/how-to-convert-dictionary-key-as-row-and-values-as-columns
centrality_dict = [degree_centrality, closeness_centrality, betweenness_centrality, eigenvector_centrality, hub, authority]
cent = pd.DataFrame(centrality_dict).T.reset_index()
cent.columns = ["File","Degree","Closeness","Betweenness", "Eigenvector", "Hub", "Authority"]
cent
| File | Degree | Closeness | Betweenness | Eigenvector | Hub | Authority | |
|---|---|---|---|---|---|---|---|
| 0 | Fullmetal Alchemist | 0.044782 | 0.034012 | 0.000840 | 0.036616 | 0.007814 | 0.001801 |
| 1 | D.Gray-man | 0.008512 | 0.033593 | 0.000000 | 0.040989 | 0.000000 | 0.002076 |
| 2 | Busou Renkin | 0.002961 | 0.028885 | 0.000000 | 0.013409 | 0.000000 | 0.000731 |
| 3 | Baccano! | 0.006662 | 0.034043 | 0.000000 | 0.044590 | 0.000000 | 0.001882 |
| 4 | Soul Eater | 0.057365 | 0.035366 | 0.001155 | 0.051116 | 0.010198 | 0.002224 |
| ... | ... | ... | ... | ... | ... | ... | ... |
| 2698 | Hiatari Ryoukou! | 0.000370 | 0.023980 | 0.000000 | 0.002092 | 0.000000 | 0.000045 |
| 2699 | 5-toubun no Hanayome ∬ | 0.000370 | 0.021360 | 0.000000 | 0.000476 | 0.000000 | 0.000009 |
| 2700 | Hagure Yuusha no Aesthetica: Hajirai Ippai | 0.000370 | 0.022363 | 0.000000 | 0.000929 | 0.000000 | 0.000033 |
| 2701 | Towa no Quon 1: Utakata no Kaben | 0.000370 | 0.025043 | 0.000000 | 0.002934 | 0.000000 | 0.000092 |
| 2702 | The Reflection | 0.000370 | 0.025043 | 0.000000 | 0.002934 | 0.000000 | 0.000092 |
2703 rows × 7 columns
cent.sort_values("Degree", ascending=False).head(5)
| File | Degree | Closeness | Betweenness | Eigenvector | Hub | Authority | |
|---|---|---|---|---|---|---|---|
| 7 | Code Geass: Hangyaku no Lelouch | 0.103997 | 0.037287 | 0.002817 | 0.065515 | 0.015959 | 0.002763 |
| 217 | Gintama | 0.094375 | 0.040486 | 0.003722 | 0.102881 | 0.013532 | 0.003219 |
| 25 | Death Note | 0.093264 | 0.037566 | 0.002318 | 0.067615 | 0.015256 | 0.002854 |
| 30 | Angel Beats! | 0.089563 | 0.041374 | 0.003060 | 0.139038 | 0.017041 | 0.004521 |
| 98 | Tengen Toppa Gurren Lagann | 0.085862 | 0.034244 | 0.002330 | 0.034830 | 0.009965 | 0.001622 |
Converting from an undirected graph to a directed one in BERT's CSV:
Hub/authority are the same because the graph is undirected. When comparing the two nodes for an edge,
Tables needed from before:
cent
| File | Degree | Closeness | Betweenness | Eigenvector | Hub | Authority | |
|---|---|---|---|---|---|---|---|
| 0 | Fullmetal Alchemist | 0.044782 | 0.034012 | 0.000840 | 0.036616 | 0.007814 | 0.001801 |
| 1 | D.Gray-man | 0.008512 | 0.033593 | 0.000000 | 0.040989 | 0.000000 | 0.002076 |
| 2 | Busou Renkin | 0.002961 | 0.028885 | 0.000000 | 0.013409 | 0.000000 | 0.000731 |
| 3 | Baccano! | 0.006662 | 0.034043 | 0.000000 | 0.044590 | 0.000000 | 0.001882 |
| 4 | Soul Eater | 0.057365 | 0.035366 | 0.001155 | 0.051116 | 0.010198 | 0.002224 |
| ... | ... | ... | ... | ... | ... | ... | ... |
| 2698 | Hiatari Ryoukou! | 0.000370 | 0.023980 | 0.000000 | 0.002092 | 0.000000 | 0.000045 |
| 2699 | 5-toubun no Hanayome ∬ | 0.000370 | 0.021360 | 0.000000 | 0.000476 | 0.000000 | 0.000009 |
| 2700 | Hagure Yuusha no Aesthetica: Hajirai Ippai | 0.000370 | 0.022363 | 0.000000 | 0.000929 | 0.000000 | 0.000033 |
| 2701 | Towa no Quon 1: Utakata no Kaben | 0.000370 | 0.025043 | 0.000000 | 0.002934 | 0.000000 | 0.000092 |
| 2702 | The Reflection | 0.000370 | 0.025043 | 0.000000 | 0.002934 | 0.000000 | 0.000092 |
2703 rows × 7 columns
df
| Unnamed: 0 | Unnamed: 0.1 | Source | Target | Weight | Raw | Weight Total | |
|---|---|---|---|---|---|---|---|
| 2 | 1591 | 1591 | Fullmetal Alchemist | D.Gray-man | 1.571429 | 33.0 | 10.0 |
| 3 | 1592 | 1592 | Fullmetal Alchemist | Busou Renkin | 0.761905 | 16.0 | 10.0 |
| 4 | 1593 | 1593 | Fullmetal Alchemist | Baccano! | 0.523810 | 11.0 | 10.0 |
| 5 | 1594 | 1594 | Fullmetal Alchemist | Soul Eater | 0.428571 | 9.0 | 10.0 |
| 6 | 1595 | 1595 | Fullmetal Alchemist | Chrno Crusade | 0.380952 | 8.0 | 10.0 |
| ... | ... | ... | ... | ... | ... | ... | ... |
| 14270 | 999 | 999 | Charlotte | Noragami | 0.037313 | 1.0 | 10.0 |
| 14271 | 1000 | 1000 | Charlotte | Nagi no Asu kara | 0.037313 | 1.0 | 10.0 |
| 14272 | 1001 | 1001 | Charlotte | Taboo Tattoo | 0.037313 | 1.0 | 10.0 |
| 14273 | 1002 | 1002 | Charlotte | The Reflection | 0.037313 | 1.0 | 10.0 |
| 14274 | 1003 | 1003 | Charlotte | Norn9: Norn+Nonet | 0.037313 | 1.0 | 10.0 |
14134 rows × 7 columns
Dictionary with files as keys and hub/authority as values
di_creation_dict = pd.Series(cent["Authority"].values,index=cent["File"]).to_dict()
for k,v in sorted(di_creation_dict.items())[:10]:
print (k, v)
"Bungaku Shoujo" Kyou no Oyatsu: Hatsukoi 0.00017808441999974615 "Bungaku Shoujo" Movie 0.0003480643544583692 "Eiji" 3.4417774618704574e-05 .hack//Quantum 0.0001718914195293058 .hack//Roots 0.0002603463004851806 .hack//Sign 0.0005221621521616828 .hack//Tasogare no Udewa Densetsu 0.00012472305473389022 .hack//The Movie: Sekai no Mukou ni 0.00012472305473389022 009-1 6.89817129817532e-05 07-Ghost 0.0008476063689722673
Modifying df
di_creation_df = df.copy(deep = True)
ccvert = []
cctarg = []
for i, j in zip(di_creation_df["Source"], di_creation_df["Target"]):
ccvert.append(di_creation_dict[i])
cctarg.append(di_creation_dict[j])
di_creation_df["Source_W"] = ccvert
di_creation_df["Target_W"] = cctarg
di_creation_df
| Unnamed: 0 | Unnamed: 0.1 | Source | Target | Weight | Raw | Weight Total | Source_W | Target_W | |
|---|---|---|---|---|---|---|---|---|---|
| 2 | 1591 | 1591 | Fullmetal Alchemist | D.Gray-man | 1.571429 | 33.0 | 10.0 | 0.001801 | 0.002076 |
| 3 | 1592 | 1592 | Fullmetal Alchemist | Busou Renkin | 0.761905 | 16.0 | 10.0 | 0.001801 | 0.000731 |
| 4 | 1593 | 1593 | Fullmetal Alchemist | Baccano! | 0.523810 | 11.0 | 10.0 | 0.001801 | 0.001882 |
| 5 | 1594 | 1594 | Fullmetal Alchemist | Soul Eater | 0.428571 | 9.0 | 10.0 | 0.001801 | 0.002224 |
| 6 | 1595 | 1595 | Fullmetal Alchemist | Chrno Crusade | 0.380952 | 8.0 | 10.0 | 0.001801 | 0.000847 |
| ... | ... | ... | ... | ... | ... | ... | ... | ... | ... |
| 14270 | 999 | 999 | Charlotte | Noragami | 0.037313 | 1.0 | 10.0 | 0.002638 | 0.002636 |
| 14271 | 1000 | 1000 | Charlotte | Nagi no Asu kara | 0.037313 | 1.0 | 10.0 | 0.002638 | 0.001590 |
| 14272 | 1001 | 1001 | Charlotte | Taboo Tattoo | 0.037313 | 1.0 | 10.0 | 0.002638 | 0.000269 |
| 14273 | 1002 | 1002 | Charlotte | The Reflection | 0.037313 | 1.0 | 10.0 | 0.002638 | 0.000092 |
| 14274 | 1003 | 1003 | Charlotte | Norn9: Norn+Nonet | 0.037313 | 1.0 | 10.0 | 0.002638 | 0.000160 |
14134 rows × 9 columns
Now that we have hub/authority values in the same table as edgelist, we can build a directed graph manually.
diG = nx.DiGraph()
diG.add_nodes_from(G)
for k, v in di_creation_dict.items():
diG.nodes[k]["HITS"] = v
for row in di_creation_df.itertuples():
if (row.Source_W < row.Target_W):
diG.add_edge(row.Target, row.Source, weight=row.Weight, HITS=row.Target)
else:
diG.add_edge(row.Source, row.Target, weight=row.Weight, HITS=row.Source)
diG.nodes.data()
NodeDataView({'Fullmetal Alchemist': {'HITS': 0.0018011253424831276}, 'D.Gray-man': {'HITS': 0.00207618784117409}, 'Busou Renkin': {'HITS': 0.0007313856432789441}, 'Baccano!': {'HITS': 0.0018819165312294727}, 'Soul Eater': {'HITS': 0.0022235005210805743}, 'Chrno Crusade': {'HITS': 0.0008474851136055215}, 'Ao no Exorcist': {'HITS': 0.0022646337561144643}, 'Code Geass: Hangyaku no Lelouch': {'HITS': 0.0027625491202183778}, 'Neon Genesis Evangelion': {'HITS': 0.0029300820629277503}, 'Fairy Tail': {'HITS': 0.001747039568574317}, 'Naruto': {'HITS': 0.0015001236505066164}, 'Shingeki no Kyojin': {'HITS': 0.0021958060675366735}, 'Blood+': {'HITS': 0.0006124961609311872}, 'Tegamibachi': {'HITS': 0.00048423280237931064}, 'Fullmetal Alchemist: Brotherhood': {'HITS': 0.0022725896842553223}, 'Pumpkin Scissors': {'HITS': 0.000272139406384053}, 'Koukyoushihen Eureka Seven': {'HITS': 0.0010361442508599846}, '07-Ghost': {'HITS': 0.0008476063689722673}, 'Kuroshitsuji': {'HITS': 0.002122921267580238}, 'One Piece': {'HITS': 0.0021107261972273966}, 'Dr. Stone': {'HITS': 0.0014432874312290734}, 'InuYasha': {'HITS': 0.0010167463823293045}, 'Scrapped Princess': {'HITS': 0.0002944071652547025}, 'Darker than Black: Kuro no Keiyakusha': {'HITS': 0.002014713883920176}, 'Kiba': {'HITS': 0.0007437717212037501}, 'Death Note': {'HITS': 0.0028542623546860533}, 'Dragon Ball Z': {'HITS': 0.0011314595006194938}, 'Pandora Hearts': {'HITS': 0.001182134701882469}, 'Arslan Senki (TV)': {'HITS': 0.0006101081849712721}, 'Black Jack': {'HITS': 0.00034754691271243147}, 'Angel Beats!': {'HITS': 0.00452125378509612}, 'Senjou no Valkyria': {'HITS': 0.00033127264216343665}, 'Monster': {'HITS': 0.0014465037532098574}, 'Rurouni Kenshin: Meiji Kenkaku Romantan': {'HITS': 0.0008152929769901687}, 'Naruto: Shippuuden': {'HITS': 0.0017666435128264124}, 'xxxHOLiC': {'HITS': 0.0008765292816274899}, 'Slayers': {'HITS': 0.00046856173117997533}, 'Dennou Coil': {'HITS': 0.0005407867531287021}, 'Kimetsu no Yaiba': {'HITS': 0.0016569996253736718}, 'Toaru Majutsu no Index': {'HITS': 0.002108157980408828}, 'Strait Jacket': {'HITS': 0.0001943181492984674}, 'Supernatural The Animation': {'HITS': 7.848048502357894e-05}, 'Bounen no Xamdou': {'HITS': 0.0003518057044288522}, 'Zetsuen no Tempest': {'HITS': 0.0020840926999869773}, 'Steins;Gate': {'HITS': 0.0030208502842743352}, 'Karakuri Circus (TV)': {'HITS': 0.00047623679757649107}, 'Fate/stay night': {'HITS': 0.0012438692087448895}, 'Ginga Eiyuu Densetsu': {'HITS': 0.000901785999618003}, 'JoJo no Kimyou na Bouken (TV)': {'HITS': 0.0016749072695315555}, 'Working!!': {'HITS': 0.002174188520774139}, 'Cowboy Bebop': {'HITS': 0.0014842499753322726}, 'Kurokami The Animation': {'HITS': 0.0007676223921711671}, 'Shin Hokuto no Ken': {'HITS': 7.848048502357894e-05}, "Wolf's Rain": {'HITS': 0.0004136615266289137}, 'Densetsu no Yuusha no Densetsu': {'HITS': 0.0014889927375236164}, 'Enen no Shouboutai': {'HITS': 0.0011877108656637308}, 'Shinsekai yori': {'HITS': 0.0019659883244117406}, 'Durarara!!': {'HITS': 0.002325418249577364}, 'Mawaru Penguindrum': {'HITS': 0.002238867919075301}, 'Fairy Tail (2014)': {'HITS': 0.00026172092084331426}, 'Hakkenden: Touhou Hakken Ibun': {'HITS': 0.000247246744283014}, 'Gosick': {'HITS': 0.0016876012514810636}, 'Hunter x Hunter (2011)': {'HITS': 0.002751804408682881}, 'Dororo': {'HITS': 0.001044060686225785}, 'Big Order (TV)': {'HITS': 0.00042229612613547805}, 'Trigun': {'HITS': 0.0014799383736448031}, 'Ookami to Koushinryou': {'HITS': 0.0017731425149393196}, 'Hitsugi no Chaika': {'HITS': 0.0003364740766843235}, 'Fate/Zero': {'HITS': 0.0020331586485899606}, 'Tetsuwan Birdy Decode': {'HITS': 0.000526897029879298}, 'Erementar Gerad': {'HITS': 0.0006680022806956594}, 'Steamboy': {'HITS': 8.59114454405957e-05}, 'Seikon no Qwaser': {'HITS': 0.0004881641477742382}, 'Tennis no Ouji-sama': {'HITS': 0.0001568854592096404}, 'Black Blood Brothers': {'HITS': 7.848048502357894e-05}, 'The Third: Aoi Hitomi no Shoujo': {'HITS': 0.0001669698301100848}, 'Mushishi': {'HITS': 0.0016340257986601832}, 'Kekkaishi (TV)': {'HITS': 0.0005817260610705545}, 'Kurau Phantom Memory': {'HITS': 7.848048502357894e-05}, 'Slayers Next': {'HITS': 0.00018090192624106943}, 'Ou Dorobou Jing': {'HITS': 0.0003165251719923598}, 'Arc the Lad': {'HITS': 7.848048502357894e-05}, 'Juushin Enbu: Hero Tales': {'HITS': 7.848048502357894e-05}, 'Seihou Bukyou Outlaw Star': {'HITS': 0.00034997265517905775}, 'Miracle☆Girls': {'HITS': 7.848048502357894e-05}, 'Tsubasa Chronicle': {'HITS': 0.0009035692920591683}, 'Dantalian no Shoka': {'HITS': 0.00046234648228848197}, 'Toshokan Sensou': {'HITS': 0.00048075947742421234}, 's.CRY.ed': {'HITS': 0.0008075929825432522}, 'ef: A Tale of Memories.': {'HITS': 0.0014319895682807112}, 'Violet Evergarden': {'HITS': 0.0013004423063927876}, 'Dragon Ball': {'HITS': 0.00068686444756326}, 'Gin no Saji': {'HITS': 0.0011100208337250445}, 'Mob Psycho 100': {'HITS': 0.0016296653853978547}, 'Karneval (TV)': {'HITS': 0.0001796534771640006}, 'Code:Breaker': {'HITS': 0.0007411432398197835}, 'Ueki no Housoku': {'HITS': 0.0008043058557653378}, 'Seirei no Moribito': {'HITS': 0.0005549071576578337}, 'Tengen Toppa Gurren Lagann': {'HITS': 0.0016217091753936183}, 'Trinity Blood': {'HITS': 0.0006779648598515751}, 'Hunter x Hunter': {'HITS': 0.0007659627427236218}, 'World Destruction: Sekai Bokumetsu no Rokunin': {'HITS': 0.0002809909421973046}, 'R.O.D: The TV': {'HITS': 0.00023877015698799876}, 'Goblin Slayer': {'HITS': 0.0005410715540437895}, 'Hai to Gensou no Grimgar': {'HITS': 0.0012937731655723276}, 'Akame ga Kill!': {'HITS': 0.0024372295763367266}, 'Dungeon ni Deai wo Motomeru no wa Machigatteiru Darou ka': {'HITS': 0.0011561936145467553}, 'Kaifuku Jutsushi no Yarinaoshi': {'HITS': 0.0002385194118897878}, 'Kenpuu Denki Berserk': {'HITS': 0.001070467625784661}, 'Shinchou Yuusha: Kono Yuusha ga Ore Tueee Kuse ni Shinchou Sugiru': {'HITS': 0.0008873154208208023}, 'Overlord': {'HITS': 0.0014560610132839855}, 'Drifters': {'HITS': 0.00031256302100214834}, 'Berserk': {'HITS': 0.00027317807236915066}, 'Tales of Zestiria the Cross': {'HITS': 0.00027603707206648865}, 'Tensei shitara Slime Datta Ken': {'HITS': 0.0008807802404383955}, 'Shigurui': {'HITS': 2.1747723979315754e-05}, 'Kono Subarashii Sekai ni Shukufuku wo!': {'HITS': 0.003032440013659359}, 'Re:Zero kara Hajimeru Isekai Seikatsu': {'HITS': 0.002914946355782867}, 'Vinland Saga': {'HITS': 0.0005547114825782494}, 'Akudama Drive': {'HITS': 0.000633991858544067}, 'Arifureta Shokugyou de Sekai Saikyou': {'HITS': 0.0006418102454362623}, 'Made in Abyss': {'HITS': 0.0009576337973727277}, 'Devilman: Crybaby': {'HITS': 0.0013955403112465793}, 'Tate no Yuusha no Nariagari': {'HITS': 0.0009796837430013075}, 'Maoyuu Maou Yuusha': {'HITS': 0.0010126980241062223}, 'Claymore': {'HITS': 0.0014529280935895825}, 'Sword Art Online: Alicization': {'HITS': 0.000282075024641135}, 'Ninja Slayer From Animation': {'HITS': 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Z-hen': {'HITS': 0.00010008901595623512}, 'Yuusha-Ou GaoGaiGar Final': {'HITS': 0.00010008901595623512}, 'Muteki Choujin Zanbot 3': {'HITS': 0.00010008901595623512}, 'Yuusha-Ou GaoGaiGar Final Grand Glorious Gathering': {'HITS': 0.00010008901595623512}, 'Sengoku Basara Ni': {'HITS': 0.00010008901595623512}, 'Vividred Operation': {'HITS': 0.00010008901595623512}, 'Yamato Takeru': {'HITS': 0.00010008901595623512}, 'Yuusha Tokkyuu Might Gaine': {'HITS': 0.00010008901595623512}, 'Uchuu no Stellvia': {'HITS': 0.00010008901595623512}, 'Cobra The Animation': {'HITS': 0.00010008901595623512}, 'Bakuretsu Tenshi': {'HITS': 0.00010008901595623512}, 'Sentou Mecha Xabungle': {'HITS': 0.00010008901595623512}, 'Tailenders': {'HITS': 0.00010008901595623512}, 'Gaiking: Legend of Daiku-Maryu': {'HITS': 0.00010008901595623512}, 'Vandread: The Second Stage': {'HITS': 0.00010008901595623512}, 'Bounty Dog: Getsumen no Ibu': {'HITS': 0.00010008901595623512}, 'Yami to Boushi to Hon no Tabibito': {'HITS': 3.718597817344099e-05}, 'Yuragi-sou no Yuuna-san OVA': {'HITS': 3.718597817344099e-05}, 'Mujaki no Rakuen': {'HITS': 0.00011009483313920891}, 'Love Hina Christmas Special: Silent Eve': {'HITS': 3.718597817344099e-05}, 'Mankitsu Happening': {'HITS': 3.718597817344099e-05}, 'Fantasia': {'HITS': 3.718597817344099e-05}, 'Psychic Academy': {'HITS': 3.718597817344099e-05}, 'Saishuu Shiken Kujira': {'HITS': 3.718597817344099e-05}, 'Devils Line': {'HITS': 0.00017773326869070541}, 'Amon: Devilman Mokushiroku': {'HITS': 7.765219190578653e-05}, 'Bloodivores': {'HITS': 7.765219190578653e-05}, 'Kizumonogatari III: Reiketsu-hen': {'HITS': 7.765219190578653e-05}, 'Kyoushoku Soukou Guyver': {'HITS': 7.765219190578653e-05}, 'Shiki Specials': {'HITS': 7.765219190578653e-05}, 'Shingeki no Kyojin OVA': {'HITS': 7.765219190578653e-05}, 'Chirin no Suzu': {'HITS': 7.765219190578653e-05}, 'Tonari no Yarou': {'HITS': 1.7915942167704487e-05}, 'Kyou no Asuka Show': {'HITS': 0.00010736020355198428}, 'Fumikiri Jikan': {'HITS': 1.7915942167704487e-05}, 'Hiyokoi': {'HITS': 0.00018121015491304277}, 'Hayate no Gotoku!!': {'HITS': 0.00032932782223728176}, 'Fate/kaleid liner Prisma☆Illya': {'HITS': 0.00013678350439128877}, 'Sasameki Koto': {'HITS': 0.0001837542002438745}, 'Hiyokoi (2012)': {'HITS': 0.00013678350439128877}, 'Zettai Shounen': {'HITS': 4.108650821551036e-05}, 'Koitabi: True Tours Nanto': {'HITS': 6.231982609534499e-05}, 'Aoi Hana': {'HITS': 6.976177572508116e-05}, 'Saenai Heroine no Sodatekata Fine': {'HITS': 4.128494007538206e-05}, 'Konbini Kareshi': {'HITS': 6.251825795521669e-05}, 'Hakubo': {'HITS': 4.128494007538206e-05}, 'Honobono Log': {'HITS': 2.1233317879834625e-05}, 'High Score': {'HITS': 2.1233317879834625e-05}, 'Kuma Miko': {'HITS': 9.046479025355679e-05}, 'Chuukan Kanriroku Tonegawa': {'HITS': 4.4426650521753995e-05}, 'Inuki Kanako Zekkyou Collection: Gakkou ga Kowai!': {'HITS': 4.4426650521753995e-05}, 'Miss Monochrome The Animation': {'HITS': 4.4426650521753995e-05}, 'Saenai Heroine no Sodatekata: Ai to Seishun no Service-kai': {'HITS': 4.4426650521753995e-05}, 'Ristorante Paradiso': {'HITS': 7.466531854521072e-05}, 'Tsuyoshi Shikkari Shinasai': {'HITS': 7.466531854521072e-05}, 'Ame-iro Cocoa': {'HITS': 7.466531854521072e-05}, 'Kaidan Restaurant': {'HITS': 7.466531854521072e-05}, 'Pia Carrot e Youkoso!! 2 DX': {'HITS': 7.466531854521072e-05}, 'Oshi ga Budoukan Ittekuretara Shinu': {'HITS': 2.181952009823786e-05}, 'Aggressive Retsuko': {'HITS': 2.663556732841386e-05}, 'Choujin Koukousei-tachi wa Isekai demo Yoyuu de Ikinuku you desu!': {'HITS': 3.720597273612688e-05}, 'Doukyuusei (Movie)': {'HITS': 1.5798266793655697e-05}, 'Free!: Eternal Summer - Kindan no All Hard!': {'HITS': 1.5798266793655697e-05}, 'Gakuen Heaven': {'HITS': 1.5798266793655697e-05}, 'Skate-Leading☆Stars': {'HITS': 1.5798266793655697e-05}, 'Haikyuu!!: Karasuno Koukou vs. Shiratorizawa Gakuen Koukou': {'HITS': 1.5798266793655697e-05}, 'Major S6': {'HITS': 1.5798266793655697e-05}, 'Dive!!': {'HITS': 1.5798266793655697e-05}, 'Nihon Animator Mihonichi': {'HITS': 1.5798266793655697e-05}, 'King of Prism by Pretty Rhythm': {'HITS': 1.5798266793655697e-05}, 'Koisuru Boukun': {'HITS': 1.5798266793655697e-05}, 'Kono Danshi, Ningyo Hiroimashita.': {'HITS': 6.614134964788392e-05}, 'Working!!!: Lord of the Takanashi': {'HITS': 1.8042274861706293e-05}, 'Prism Ark': {'HITS': 8.686849049988696e-05}, "Dog Days'": {'HITS': 8.686849049988696e-05}, 'Seisenshi Dunbine': {'HITS': 8.686849049988696e-05}, 'Gate: Jieitai Kanochi nite, Kaku Tatakaeri 2nd Season': {'HITS': 8.686849049988696e-05}, 'Shakugan no Shana S': {'HITS': 8.686849049988696e-05}, 'Star Ocean EX': {'HITS': 8.686849049988696e-05}, 'Ultra Maniac': {'HITS': 8.686849049988696e-05}, 'Amatsuki': {'HITS': 0.00017797331482526357}, 'Eiyuu Densetsu: Sora no Kiseki The Animation': {'HITS': 8.686849049988696e-05}, 'Kuromajo-san ga Tooru!!': {'HITS': 8.686849049988696e-05}, 'Sentou Yousei Shoujo Tasukete! Mave-chan': {'HITS': 8.686849049988696e-05}, 'Chihayafuru 3': {'HITS': 5.0343082854228214e-05}, 'Susume, Karolina.': {'HITS': 5.0343082854228214e-05}, 'Gosenzo-sama Banbanzai!': {'HITS': 5.0343082854228214e-05}, 'Shogi Hour': {'HITS': 5.0343082854228214e-05}, 'Kuroshitsuji: Book of Murder': {'HITS': 2.8135781761616258e-05}, 'High School DxD BorN': {'HITS': 8.212134503872523e-05}, 'Windaria': {'HITS': 0.00010008107678491888}, 'Hitsugi no Chaika: Avenging Battle': {'HITS': 0.00010008107678491888}, 'Goblin Slayer: Bouken Kiroku Youshi - Adventure Sheet': {'HITS': 0.00010008107678491888}, 'Ken En Ken: Aoki Kagayaki': {'HITS': 0.00010008107678491888}, 'Nee, Chanto Shiyou Yo!': {'HITS': 0.00010008107678491888}, 'Senkaiden Houshin Engi': {'HITS': 0.00010008107678491888}, 'MD Geist II: Death Force': {'HITS': 0.00010008107678491888}, 'Soukihei MD Geist': {'HITS': 0.00010008107678491888}, 'Blood-C: The Last Dark': {'HITS': 0.00010008107678491888}, 'X-Men': {'HITS': 0.00016084901479426685}, "Tales of Symphonia The Animation: Tethe'alla-hen": {'HITS': 0.00010008107678491888}, 'Hokuto no Ken 2': {'HITS': 0.00010008107678491888}, 'Ribbon no Kishi': {'HITS': 0.00010008107678491888}, 'Shachou, Battle no Jikan Desu!': {'HITS': 4.430002915062722e-05}, 'Lady Jewelpet': {'HITS': 4.430002915062722e-05}, 'Seiyou Kottou Yougashiten: Antique': {'HITS': 4.485862553650942e-06}, 'Amnesia OVA': {'HITS': 4.485862553650942e-06}, 'Makura no Danshi': {'HITS': 4.485862553650942e-06}, 'Little Busters!: EX': {'HITS': 0.00017115020736620072}, 'Caligula (TV)': {'HITS': 0.00017115020736620072}, 'Persona 3 the Movie 4: Winter of Rebirth': {'HITS': 0.00017115020736620072}, 'Chuunibyou demo Koi ga Shitai!: Kirameki no... Slapstick Noel': {'HITS': 0.00017115020736620072}, 'Fortune Arterial: Akai Yakusoku - Tadoritsuita Basho': {'HITS': 0.00017115020736620072}, 'Houkago no Pleiades (TV)': {'HITS': 0.00017115020736620072}, 'Nijiiro Hotaru: Eien no Natsuyasumi': {'HITS': 0.00017115020736620072}, 'Kataku': {'HITS': 0.00017115020736620072}, 'Wakaba*Girl': {'HITS': 9.384673500302314e-06}, 'Cheating Craft': {'HITS': 0.00018351360013134528}, 'Usagi-chan de Cue!!': {'HITS': 1.2959524597102797e-05}, 'AIKa R-16: Virgin Mission': {'HITS': 1.2959524597102797e-05}, 'Galaxy Angel': {'HITS': 9.281129545453424e-05}, 'Morita-san wa Mukuchi.': {'HITS': 4.697069585258572e-05}, 'Nichijou: Nichijou no 0-wa': {'HITS': 4.697069585258572e-05}, 'Hidamari Sketch x 365': {'HITS': 4.697069585258572e-05}, 'Chitose Get You!!': {'HITS': 4.697069585258572e-05}, 'Mameshiba': {'HITS': 4.697069585258572e-05}, 'Dash! Kappei': {'HITS': 4.697069585258572e-05}, 'Mahou Yuugi 2D': {'HITS': 4.697069585258572e-05}, 'Wind: A Breath of Heart (TV)': {'HITS': 4.697069585258572e-05}, '30-sai no Hoken Taiiku': {'HITS': 4.501761086252581e-05}, 'Seitokai Yakuindomo* OVA': {'HITS': 4.501761086252581e-05}, 'Nana to Kaoru': {'HITS': 4.501761086252581e-05}, 'Märchen Mädchen': {'HITS': 0.00010567582734610598}, 'Hacka Doll The Animation': {'HITS': 0.00010567582734610598}, 'Kyoukaisenjou no Horizon II': {'HITS': 0.00010567582734610598}, 'IDOLiSH7': {'HITS': 4.571084797519196e-05}, 'Comic Party Revolution': {'HITS': 4.571084797519196e-05}, 'Moyashimon': {'HITS': 4.6038139731802784e-05}, 'Mashiro no Oto': {'HITS': 4.6038139731802784e-05}, 'Bab Mook Ja': {'HITS': 4.6038139731802784e-05}, 'Mushishi Zoku Shou 2nd Season': {'HITS': 4.6038139731802784e-05}, 'Teizokurei Daydream': {'HITS': 4.584059960194851e-05}, 'Burn the Witch': {'HITS': 9.110482432537664e-05}, 'Samurai Deeper Kyou': {'HITS': 9.110482432537664e-05}, 'Tokyo Underground': {'HITS': 9.110482432537664e-05}, 'Mobile Suit Gundam SEED MSV Astray': {'HITS': 9.110482432537664e-05}, 'Mobile Suit Gundam Wing: Endless Waltz': {'HITS': 9.110482432537664e-05}, 'Final Fantasy VII: Last Order': {'HITS': 9.110482432537664e-05}, 'Shaman King (2021)': {'HITS': 9.110482432537664e-05}, 'Nurarihyon no Mago: Sennen Makyou': {'HITS': 9.110482432537664e-05}, 'Ryuusei no Rockman Tribe': {'HITS': 9.110482432537664e-05}, 'Kyoukai no Rinne': {'HITS': 9.110482432537664e-05}, 'Tokyo Majin Gakuen Kenpucho: Tou': {'HITS': 9.110482432537664e-05}, 'Final Fantasy VII: Advent Children Complete': {'HITS': 9.110482432537664e-05}, 'Re:␣Hamatora': {'HITS': 0.00018313405803995606}, 'Nekopara OVA': {'HITS': 2.8457380704764617e-05}, 'Himouto! Umaru-chan R': {'HITS': 2.8457380704764617e-05}, 'New Game!!': {'HITS': 2.8457380704764617e-05}, 'Kara no Kyoukai: Mirai Fukuin': {'HITS': 7.29088549657679e-05}, 'RErideD: Tokigoe no Derrida': {'HITS': 7.29088549657679e-05}, 'Kamisama Hajimemashita: Kako-hen': {'HITS': 7.29088549657679e-05}, 'Yao Shen Ji': {'HITS': 7.29088549657679e-05}, 'Natsu-iro no Sunadokei': {'HITS': 7.29088549657679e-05}, 'Pokemon Sun & Moon': {'HITS': 6.076793800934794e-05}, 'Ore no Imouto ga Konnani Kawaii Wake ga Nai: SD Chara ni Yoru Character Commentary': {'HITS': 8.567615761321577e-05}, 'Kimi ni Todoke 2nd Season': {'HITS': 4.483972998264329e-05}, 'Hiatari Ryoukou!': {'HITS': 4.483972998264329e-05}, '5-toubun no Hanayome ∬': {'HITS': 9.44971443719023e-06}, 'Hagure Yuusha no Aesthetica: Hajirai Ippai': {'HITS': 3.306204420439259e-05}, 'Towa no Quon 1: Utakata no Kaben': {'HITS': 9.20292337145794e-05}, 'The Reflection': {'HITS': 9.20292337145794e-05}})
Bokeh example
SAME_CLUB_COLOR, DIFFERENT_CLUB_COLOR = "black", "red"
edge_attrs = {}
for start_node, end_node, _ in diG.edges(data=True):
edge_color = SAME_CLUB_COLOR if diG.nodes[start_node]["HITS"] == diG.nodes[end_node]["HITS"] else DIFFERENT_CLUB_COLOR
edge_attrs[(start_node, end_node)] = edge_color
nx.set_edge_attributes(diG, edge_attrs, "edge_color")
# Show with Bokeh
plot = Plot(plot_width=400, plot_height=400,
x_range=Range1d(-1.1, 1.1), y_range=Range1d(-1.1, 1.1))
plot.title.text = "Graph Interaction Demonstration"
node_hover_tool = HoverTool(tooltips=[("index", "@index"), ("HITS", "@HITS")])
plot.add_tools(node_hover_tool, BoxZoomTool(), ResetTool())
graph_renderer = from_networkx(diG, nx.spring_layout, scale=1, center=(0, 0))
graph_renderer.node_renderer.glyph = Circle(size=15, fill_color=Spectral4[0])
graph_renderer.edge_renderer.glyph = MultiLine(line_color="edge_color", line_alpha=0.8, line_width=1)
plot.renderers.append(graph_renderer)
output_file("interactive_graphs.html")
show(plot)
BokehDeprecationWarning: Importing from_networkx from bokeh.models.graphs is deprecated and will be removed in Bokeh 3.0. Import from bokeh.plotting instead
K-means is considered by many to be the gold standard when it comes to clustering due to its simplicity and performance, so it's the first one we'll try out.
When you have no idea at all what algorithm to use, K-means is usually the first choice.
K-means works by defining spherical clusters that are separable in a way so that the mean value converges towards the cluster center. Because of this, K-Means may underperform sometimes.
Returns a Dictionary with clustering value of each node
print(nx.clustering(G))
{'Fullmetal Alchemist': 0.08065184366800165, 'D.Gray-man': 0.383399209486166, 'Busou Renkin': 0.39285714285714285, 'Baccano!': 0.39869281045751637, 'Soul Eater': 0.07809875713805844, 'Chrno Crusade': 0.3888888888888889, 'Ao no Exorcist': 0.3412698412698413, 'Code Geass: Hangyaku no Lelouch': 0.037220780542410827, 'Neon Genesis Evangelion': 0.25846702317290554, 'Fairy Tail': 0.08773968622893666, 'Naruto': 0.06348327055173943, 'Shingeki no Kyojin': 0.057983418026210216, 'Blood+': 0.19047619047619047, 'Tegamibachi': 0.5333333333333333, 'Fullmetal Alchemist: Brotherhood': 0.06419874554175378, 'Pumpkin Scissors': 1.0, 'Koukyoushihen Eureka Seven': 0.32051282051282054, '07-Ghost': 0.5, 'Kuroshitsuji': 0.3079710144927536, 'One Piece': 0.35327635327635326, 'Dr. Stone': 0.3897058823529412, 'InuYasha': 0.2761904761904762, 'Scrapped Princess': 1.0, 'Darker than Black: Kuro no Keiyakusha': 0.3722943722943723, 'Kiba': 0.39285714285714285, 'Death Note': 0.048145100025322865, 'Dragon Ball Z': 0.6794871794871795, 'Pandora Hearts': 0.32967032967032966, 'Arslan Senki (TV)': 0.7333333333333333, 'Black Jack': 1.0, 'Angel Beats!': 0.07509962896798131, 'Senjou no Valkyria': 0.3333333333333333, 'Monster': 0.525, 'Rurouni Kenshin: Meiji Kenkaku Romantan': 0.5, 'Naruto: Shippuuden': 0.42105263157894735, 'xxxHOLiC': 0.37777777777777777, 'Slayers': 0.2857142857142857, 'Dennou Coil': 0.3333333333333333, 'Kimetsu no Yaiba': 0.45789473684210524, 'Toaru Majutsu no Index': 0.3007246376811594, 'Strait Jacket': 1.0, 'Supernatural The Animation': 0, 'Bounen no Xamdou': 0.8333333333333334, 'Zetsuen no Tempest': 0.383399209486166, 'Steins;Gate': 0.07886804060289142, 'Karakuri Circus (TV)': 0.6, 'Fate/stay night': 0.047437582128777925, 'Ginga Eiyuu Densetsu': 0.37777777777777777, 'JoJo no Kimyou na Bouken (TV)': 0.39766081871345027, 'Working!!': 0.12614795918367347, 'Cowboy Bebop': 0.026789017982683343, 'Kurokami The Animation': 0.4166666666666667, 'Shin Hokuto no Ken': 0, "Wolf's Rain": 0.5, 'Densetsu no Yuusha no Densetsu': 0.3137254901960784, 'Enen no Shouboutai': 0.5164835164835165, 'Shinsekai yori': 0.0510124885345375, 'Durarara!!': 0.322463768115942, 'Mawaru Penguindrum': 0.37681159420289856, 'Fairy Tail (2014)': 1.0, 'Hakkenden: Touhou Hakken Ibun': 0, 'Gosick': 0.3333333333333333, 'Hunter x Hunter (2011)': 0.07474184559908212, 'Dororo': 0.3939393939393939, 'Big Order (TV)': 0.2, 'Trigun': 0.5416666666666666, 'Ookami to Koushinryou': 0.040671400903808906, 'Hitsugi no Chaika': 0.5, 'Fate/Zero': 0.4714285714285714, 'Tetsuwan Birdy Decode': 0.4666666666666667, 'Erementar Gerad': 0.4444444444444444, 'Steamboy': 0, 'Seikon no Qwaser': 0.08480894687791239, 'Tennis no Ouji-sama': 0.3333333333333333, 'Black Blood Brothers': 0, 'The Third: Aoi Hitomi no Shoujo': 0.3333333333333333, 'Mushishi': 0.21212121212121213, 'Kekkaishi (TV)': 0.7142857142857143, 'Kurau Phantom Memory': 0, 'Slayers Next': 1.0, 'Ou Dorobou Jing': 1.0, 'Arc the Lad': 0, 'Juushin Enbu: Hero Tales': 0, 'Seihou Bukyou Outlaw Star': 0.8333333333333334, 'Miracle☆Girls': 0, 'Tsubasa Chronicle': 0.3055555555555556, 'Dantalian no Shoka': 0.5, 'Toshokan Sensou': 0.26666666666666666, 's.CRY.ed': 0.75, 'ef: A Tale of Memories.': 0.34210526315789475, 'Violet Evergarden': 0.06148575549945907, 'Dragon Ball': 0.5555555555555556, 'Gin no Saji': 0.27205882352941174, 'Mob Psycho 100': 0.08666531357824234, 'Karneval (TV)': 0, 'Code:Breaker': 0.7142857142857143, 'Ueki no Housoku': 0.4444444444444444, 'Seirei no Moribito': 0.2857142857142857, 'Tengen Toppa Gurren Lagann': 0.024648939348670452, 'Trinity Blood': 0.5357142857142857, 'Hunter x Hunter': 0.6785714285714286, 'World Destruction: Sekai Bokumetsu no Rokunin': 1.0, 'R.O.D: The TV': 1.0, 'Goblin Slayer': 0.15100671140939598, 'Hai to Gensou no Grimgar': 0.3416666666666667, 'Akame ga Kill!': 0.07948410317936412, 'Dungeon ni Deai wo Motomeru no wa Machigatteiru Darou ka': 0.11302133078637376, 'Kaifuku Jutsushi no Yarinaoshi': 0.2, 'Kenpuu Denki 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Get the Clustering value for the whole Graph (0 - 1)
nx.average_clustering(G)
0.26437324570612514
Transitivity of a Graph = 3 * Number of triangles in a Graph / Number of connected triads in the Graph.
In other words, it is the fraction of all possible triangles present in G
also (0-1)
nx.transitivity(G)
0.04437560712358338
Now, we know that the graph is connected. Networkx provides a number of in built functions to check on the various Connectivity features of a Graph. If it were not connected, there would be many useful functions..
Few important characteristics of a Graph
https://www.learndatasci.com/tutorials/k-means-clustering-algorithms-python-intro/
from sklearn import cluster
import networkx as nx
from collections import defaultdict
import matplotlib.pyplot as plt
from matplotlib import cm
import seaborn as sns
import pandas as pd
import numpy as np
from sklearn.metrics.cluster import normalized_mutual_info_score
from sklearn.metrics.cluster import adjusted_rand_score
For small / moderate graphs, one simple option is to store the node names as a list:
nodes_list = np.array(list(G.nodes()))
nodes_list
array(['Fullmetal Alchemist', 'D.Gray-man', 'Busou Renkin', ...,
'Hagure Yuusha no Aesthetica: Hajirai Ippai',
'Towa no Quon 1: Utakata no Kaben', 'The Reflection'], dtype='<U99')
Added node_id and neighbor_id to find index of a text because the indices must be in integers, not strings.
Inspired: https://stackoverflow.com/questions/25160191/mapping-from-a-nodes-name-to-its-index-and-vice-versa-in-networkx , might not work well with huge graphs though.
def graph_to_edge_matrix(G):
"""Convert a networkx graph into an edge matrix.
See https://www.wikiwand.com/en/Incidence_matrix for a good explanation on edge matrices
Parameters
----------
G : networkx graph
"""
# Initialize edge matrix with zeros
edge_mat = np.zeros((len(G), len(G)), dtype=int)
# Loop to set 0 or 1 (diagonal elements are set to 1)
for node in G:
node_id = np.where(nodes_list == node)[0][0]
for neighbor in G.neighbors(node):
# To recover the index from the name:
neighbor_id = np.where(nodes_list == neighbor)[0][0]
edge_mat[node_id][neighbor_id] = 1
edge_mat[node_id][node_id] = 1
return edge_mat
Q = nx.karate_club_graph()
posQ = nx.spring_layout(Q)
edge_mat = graph_to_edge_matrix(G)
edge_mat
array([[1, 1, 1, ..., 0, 0, 0],
[0, 1, 0, ..., 0, 0, 0],
[0, 0, 1, ..., 0, 0, 0],
...,
[0, 0, 0, ..., 1, 0, 0],
[0, 0, 0, ..., 0, 1, 0],
[0, 0, 0, ..., 0, 0, 1]])
k_clusters = 4
results = []
algorithms = {}
algorithms['kmeans'] = cluster.KMeans(n_clusters=k_clusters, n_init=200)
algorithms['kmeans'].fit(edge_mat)
KMeans(n_clusters=4, n_init=200)
Agglomerative Clustering
The main idea behind Agglomerative clustering is that each node first starts in its own cluster, and then pairs of clusters recursively merge together in a way that minimally increases a given linkage distance.
algorithms['agglom'] = cluster.AgglomerativeClustering(n_clusters=k_clusters, linkage="ward")
Spectral Clustering
algorithms['spectral'] = cluster.SpectralClustering(n_clusters=k_clusters, affinity="precomputed", n_init=200)
Affinity Propagation
Affinity propagation performs really well on several computer vision and biology problems, such as clustering pictures of human faces and identifying regulated transcripts
algorithms['affinity'] = cluster.AffinityPropagation(damping=0.6)
Fitting each model:
for model in algorithms.values():
model.fit(edge_mat)
results.append(list(model.labels_))
C:\Users\Kevin\anaconda3\lib\site-packages\sklearn\utils\validation.py:72: UserWarning: Array is not symmetric, and will be converted to symmetric by average with its transpose.
return f(**kwargs)
C:\Users\Kevin\anaconda3\lib\site-packages\sklearn\cluster\_affinity_propagation.py:146: FutureWarning: 'random_state' has been introduced in 0.23. It will be set to None starting from 0.25 which means that results will differ at every function call. Set 'random_state' to None to silence this warning, or to 0 to keep the behavior of versions <0.23.
warnings.warn(("'random_state' has been introduced in 0.23. "
C:\Users\Kevin\anaconda3\lib\site-packages\sklearn\cluster\_affinity_propagation.py:243: ConvergenceWarning: Affinity propagation did not converge, this model will not have any cluster centers.
warnings.warn("Affinity propagation did not converge, this model "
Normalized Mutual Information (NMI) - Mutual Information of two random variables is a measure of the mutual dependence between the two variables. Normalized Mutual Information is a normalization of the Mutual Information (MI) score to scale the results between 0 (no mutual information) and 1 (perfect correlation). In other words, 0 means dissimilar and 1 means a perfect match.
Adjusted Rand Score (ARS) - Adjusted Rand Score on the other hand, computes a similarity measure between two clusters. ARS considers all pairs of samples and counts pairs that are assigned in the same or different clusters in the predicted and true clusters. If that's a little weird to think about, have in mind that, for now, 0 is the lowest similarity and 1 is the highest.
Average score - average of NMI and ARS
Requires y_true
#!pip3 install -U matplotlib
def draw_communities(G, membership, pos):
"""Draws the nodes to a plot with assigned colors for each individual cluster
Parameters
----------
G : networkx graph
membership : list
A list where the position is the student and the value at the position is the student club membership.
E.g. `print(membership[8]) --> 1` means that student #8 is a member of club 1.
pos : positioning as a networkx spring layout
E.g. nx.spring_layout(G)
"""
fig, ax = plt.subplots(figsize=(16,9))
# Convert membership list to a dict where key=club, value=list of students in club
club_dict = defaultdict(list)
for student, club in enumerate(membership):
club_dict[club].append(student)
# Normalize number of clubs for choosing a color
#norm = plt.colors.Normalize(vmin=0, vmax=len(club_dict.keys()))
for club, members in club_dict.items():
nx.draw_networkx_nodes(G, pos,
nodelist=members,
#node_color=cm.jet(norm(club)),
node_size=500,
alpha=0.8,
ax=ax)
# Draw edges (social connections) and show final plot
plt.title("Undirected BERT")
nx.draw_networkx_edges(G, pos, alpha=0.5, ax=ax)
pos = nx.spring_layout(G)
draw_communities(G, algorithms['kmeans'].labels_, pos)
--------------------------------------------------------------------------- KeyError Traceback (most recent call last) ~\anaconda3\lib\site-packages\networkx\drawing\nx_pylab.py in draw_networkx_nodes(G, pos, nodelist, node_size, node_color, node_shape, alpha, cmap, vmin, vmax, ax, linewidths, edgecolors, label) 455 try: --> 456 xy = np.asarray([pos[v] for v in nodelist]) 457 except KeyError as e: ~\anaconda3\lib\site-packages\networkx\drawing\nx_pylab.py in <listcomp>(.0) 455 try: --> 456 xy = np.asarray([pos[v] for v in nodelist]) 457 except KeyError as e: KeyError: 0 The above exception was the direct cause of the following exception: NetworkXError Traceback (most recent call last) <ipython-input-163-dd7310fa1325> in <module> ----> 1 draw_communities(G, algorithms['kmeans'].labels_, pos) <ipython-input-161-fac191c6682f> in draw_communities(G, membership, pos) 21 22 for club, members in club_dict.items(): ---> 23 nx.draw_networkx_nodes(G, pos, 24 nodelist=members, 25 #node_color=cm.jet(norm(club)), ~\anaconda3\lib\site-packages\networkx\drawing\nx_pylab.py in draw_networkx_nodes(G, pos, nodelist, node_size, node_color, node_shape, alpha, cmap, vmin, vmax, ax, linewidths, edgecolors, label) 456 xy = np.asarray([pos[v] for v in nodelist]) 457 except KeyError as e: --> 458 raise nx.NetworkXError(f"Node {e} has no position.") from e 459 except ValueError as e: 460 raise nx.NetworkXError("Bad value in node positions.") from e NetworkXError: Node 0 has no position.
Output for K-means clustering
algorithms['kmeans'].labels_
array([1, 0, 0, ..., 0, 0, 0])
Need to turn clustering labels into dictionary with nodes as keys.
G_nodelist = list(G.nodes)
clust_list = list(algorithms['kmeans'].labels_)
n2v_dict = {G_nodelist[i]: clust_list[i] for i in range(len(G_nodelist))}
#n2v_dict
import copy
G_n2v = copy.deepcopy(G)
nx.set_node_attributes(G_n2v, n2v_dict, "kmeans")
SAME_CLUB_COLOR, DIFFERENT_CLUB_COLOR = "black", "red"
edge_attrs = {}
for start_node, end_node, _ in G_n2v.edges(data=True):
edge_color = SAME_CLUB_COLOR if G_n2v.nodes[start_node]["kmeans"] == G_n2v.nodes[end_node]["kmeans"] else DIFFERENT_CLUB_COLOR
edge_attrs[(start_node, end_node)] = edge_color
nx.set_edge_attributes(G_n2v, edge_attrs, "edge_color")
# Show with Bokeh
plot = Plot(plot_width=400, plot_height=400,
x_range=Range1d(-1.1, 1.1), y_range=Range1d(-1.1, 1.1))
plot.title.text = "Graph Interaction Demonstration"
node_hover_tool = HoverTool(tooltips=[("index", "@index"), ("kmeans", "@kmeans")])
plot.add_tools(node_hover_tool, BoxZoomTool(), ResetTool())
graph_renderer = from_networkx(G_n2v, nx.spring_layout, scale=1, center=(0, 0))
graph_renderer.node_renderer.glyph = Circle(size=15, fill_color=Spectral4[0])
graph_renderer.edge_renderer.glyph = MultiLine(line_color="edge_color", line_alpha=0.8, line_width=1)
plot.renderers.append(graph_renderer)
output_file("interactive_graphs.html")
show(plot)
BokehDeprecationWarning: Importing from_networkx from bokeh.models.graphs is deprecated and will be removed in Bokeh 3.0. Import from bokeh.plotting instead
Copied from part 8
SGn = StellarGraph.from_networkx(G_n2v, node_type_default="paper", edge_type_default="cites")
print(SGn.info())
StellarDiGraph: Directed multigraph
Nodes: 2703, Edges: 14134
Node types:
paper: [2703]
Features: none
Edge types: paper-cites->paper
Edge types:
paper-cites->paper: [14134]
Weights: all 1 (default)
Features: none
rw = BiasedRandomWalk(SGn)
walks = rw.run(
nodes=list(G_n2v.nodes()), # root nodes
length=100, # maximum length of a random walk
n=10, # number of random walks per root node
p=0.5, # Defines (unormalised) probability, 1/p, of returning to source node
q=2.0, # Defines (unormalised) probability, 1/q, for moving away from source node
)
print("Number of random walks: {}".format(len(walks)))
Number of random walks: 27030
str_walks = [[str(n) for n in walk] for walk in walks]
model = Word2Vec(str_walks, size=128, window=5, min_count=0, sg=1, workers=2, iter=1)
model.wv["Garelli_Michel_1994_AMMY93_tablets_Ankara.txt"].shape
--------------------------------------------------------------------------- TypeError Traceback (most recent call last) <ipython-input-176-a1f09e0f6cfc> in <module> 1 str_walks = [[str(n) for n in walk] for walk in walks] ----> 2 model = Word2Vec(str_walks, size=128, window=5, min_count=0, sg=1, workers=2, iter=1) 3 model.wv["Garelli_Michel_1994_AMMY93_tablets_Ankara.txt"].shape TypeError: __init__() got an unexpected keyword argument 'size'
Value of embedding is for instance
model.wv["Garelli_Michel_1994_AMMY93_tablets_Ankara.txt"]
# Retrieve node embeddings and corresponding subjects
node_ids = model.wv.index2word # list of node IDs
node_embeddings = (
model.wv.vectors
) # numpy.ndarray of size number of nodes times embeddings dimensionality
node_targets = [ G_n2v.nodes[node_id]['kmeans'] for node_id in node_ids]
# Apply t-SNE transformation on node embeddings
tsne = TSNE(n_components=2)
node_embeddings_2d = tsne.fit_transform(node_embeddings)
# draw the points
alpha = 0.7
label_map = {l: i for i, l in enumerate(np.unique(node_targets))}
node_colours = [label_map[target] for target in node_targets]
plt.figure(figsize=(10, 8))
plt.scatter(
node_embeddings_2d[:, 0],
node_embeddings_2d[:, 1],
c=node_colours,
cmap="jet",
alpha=alpha,
)
#nx.write_gexf( G , f"{save_folder}/BERT2Net.gexf" )
#nx.read_gexf(f"{save_folder}/BERT2Net.gexf")
#!jupyter nbconvert --to html "INSERTNAME.ipynb"